The multi-stage flash (MSF) water desalination process plays a vital r
ole in the provision of fresh water in many areas of the world, partic
ularly in the Arab Gulf countries. This paper describes a steady-state
mathematical model developed to analyze the MSF water desalination pr
ocess. Relationships between parameters controlling the product water
cost (e.g., thermal performance ratio, specific heat transfer surface
area, and specific flow rate of cooling water and recirculated brine)
to other operating and design variables are established. These relatio
nships can be used to design new plants or to analyze already existing
units. The model assumes the practical case of constant heat transfer
surface area per stage in each section. It considered the variation o
f the physical properties of water with temperature and salt concentra
tion, the effect of fouling factors and presence of non-condensable ga
ses on the overall heat transfer coefficients, and variations in stage
flash down and thermodynamic loss from stage to stage. The model also
takes into consideration the heat transfer losses from the stages to
the surroundings and through rejection of the noncondensable gases. Th
e results obtained from the model developed are compared with data fro
m six different MSF plants. Good agreement is obtained between data of
these plants and model predictions.